Abstract
A mathematical construction of a Markov–Feller process associated with a completely positive coupling between classical and quantum systems is proposed. The example of the free classical particle on the Lobatchevski space Q interacting with the quantum system characterized by coherent states on Q is considered.
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Blanchard, P., Olkiewicz, R. Interacting Quantum and Classical Continuous Systems I. The Piecewise Deterministic Dynamics. Journal of Statistical Physics 94, 913–931 (1999). https://doi.org/10.1023/A:1004587117602
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DOI: https://doi.org/10.1023/A:1004587117602